Bmo-space for non-absolute integrable functions
Filomat, Tome 37 (2023) no. 7, p. 2041
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The functions with bounded mean oscillation (BMO) have been shown to be immense interest in several areas of analysis and probability. We introduce BMO-type space BMO HK (R n) for non-absolute integrable functions. Various properties and completion of BMO HK (R n) are included. Relations between the classical BMO space and BMO HK (R n) are investigated.
Classification :
26A39, 28B05, 46G10, 46E30, 43A15
Keywords: BMO-space, Completeness, Dense embedding, Translation invaiant
Keywords: BMO-space, Completeness, Dense embedding, Translation invaiant
Hemanta Kalita; Bipan Hazarika. Bmo-space for non-absolute integrable functions. Filomat, Tome 37 (2023) no. 7, p. 2041 . doi: 10.2298/FIL2307041K
@article{10_2298_FIL2307041K,
author = {Hemanta Kalita and Bipan Hazarika},
title = {Bmo-space for non-absolute integrable functions},
journal = {Filomat},
pages = {2041 },
year = {2023},
volume = {37},
number = {7},
doi = {10.2298/FIL2307041K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2307041K/}
}
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